Write a polynomial function F of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. Write the function in standard form.

Question

Write a polynomial function $f$ of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. Write the function in standard form.

Numbers given are -5, -1, and 2

Answer 1

(x+5)(x+1)(x-2) =

(x^2+6x +1)(x-2) =

x^3 +4x^2 -11x -2